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10th Class Mathematics Polynomials Question Bank Polynomial

  • question_answer
                      Which of the following is a cubic polynomial whose zeros are \[\left( -1 \right),\text{ }\left( -2 \right)\] and\[\left( -3 \right)\]?

    A)  \[{{x}^{3}}-6\]                      

    B)  \[{{x}^{3}}-6{{x}^{2}}+6\]                      

    C)  \[{{x}^{3}}-6{{x}^{2}}+11x+6\]    

    D)  \[{{x}^{3}}-6{{x}^{2}}-11x-6\]

    Correct Answer: C

    Solution :

    (c): Polynomial \[P(x)={{x}^{3}}-(-1-2-3){{x}^{2}}+(2+6+3)x-(-6)\] Or \[{{x}^{3}}+6{{x}^{2}}+11x+6\]


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